Results 11 to 20 of about 10,420 (254)
Bifurcations and Chaos in a Photovoltaic Plant [PDF]
International Journal of Bifurcation and Chaos, 2019 This paper presents a comprehensive approach to analyze the dynamics of a photovoltaic system by using a discrete-time modeling approach. The proposed structure consists of a photovoltaic array, a two-cell DC–DC buck converter and a load connected in cascade through a DC bus.
Mohamed Abdelmoula, Bruno Robert
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Dynamics and Bifurcation for One Non-linear System
Science, Engineering and Technology, 2023 In this paper, we observed the ordinary differential equation (ODE) system and determined the equilibrium points. To characterize them, we used the existing theory developed to visualize the behavior of the system.
Vahidin Hadžiabdić +3 more
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Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]
, 2009 The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
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Control based bifurcation analysis for experiments [PDF]
, 2008 We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear dynamical systems. Our method does not require a mathematical model of the dynamical system nor the ability to set its initial conditions.
Krauskopf, B., Sieber, J.
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Nonlinear Dynamic Analysis of Rotor-Bearing System with Cubic Nonlinearity
Shock and Vibration, 2021 Nonlinear dynamic characteristics of a rotor-bearing system with cubic nonlinearity are investigated. The comprehensive effects of the unbalanced excitation, the internal clearance, the nonlinear Hertzian contact force, the varying compliance vibration ...
Guofang Nan +3 more
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Bifurcations and chaos in the MAPK signaling cascade [PDF]
Journal of Theoretical Biology, 2010 The mitogen-activated protein kinase (MAPK) cascade is an important signaling cascade in eukaryotes. We use the approach of generalized modeling to analyze the dynamics of the MAPK cascade and identify key mechanisms of instability. Furthermore, we report sustained multi-mode oscillations and potentially chaotic behavior caused by a sequestration-based
Zumsande, Martin, Gross, Thilo
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Bifurcation, chaos analysis and control in a discrete-time predator–prey system
Advances in Difference Equations, 2019 The dynamical behavior of a discrete-time predator–prey model with modified Leslie–Gower and Holling’s type II schemes is investigated on the basis of the normal form method as well as bifurcation and chaos theory.
Weiyi Liu, Donghan Cai
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
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BISTABILITY, BIFURCATION AND CHAOS IN A LASER SYSTEM [PDF]
International Journal of Bifurcation and Chaos, 1995 In this paper we study a one-dimensional dynamical system that provides a model for the evolution of a Fabry–Perot cavity in Laser Physics. We determine the parameter ranges for bistability and chaos in the system. We also examine the bifurcations of the system and the occurrence of various types of cycles.
Ó Cairbre, Fiacre +2 more
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Sequence of Routes to Chaos in a Lorenz-Type System
Discrete Dynamics in Nature and Society, 2020 This paper reports a new bifurcation pattern observed in a Lorenz-type system. The pattern is composed of a main bifurcation route to chaos (n=1) and a sequence of sub-bifurcation routes with n=3,4,5,…,14 isolated sub-branches to chaos.
Fangyan Yang +3 more
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